Real Number Sense

A Collection of Tasks for Learning or Assessment RNS

Targets:

1. Define, classify, compare, and order rational and irrational numbers. Place rational and irrational numbers on a number line.
2. Evaluate and simplify expressions, including formulas, containing rational numbers and square roots using the order of operations.
3. Simplify, add, subtract, multiply, and divide expressions with square roots.
4. Compute solutions to real world problems, representing my answer in exact form, determining whether or not my answer is reasonable using estimation.
5. Use the Pythagorean Theorem to find any missing side of a right triangle.

Rational and Irrational Numbers Five quick activities for ordering, comparing, and classifying real numbers. A Question of Order (Alg 8.6 Revised).doc
Students develop an understanding of square roots using geometric representations. Squares and Square Roots Simple (Alg 8.5 Revised).doc
Practice worksheet on placing rational numbers on a number line and ordering the numbers from least to greatest.
Practice worksheet on perfect squares. Perfect Squares.pdf
Practice worksheet on classifying rational and irrational numbers. ClassifyRationalIrrational.pdf
Practice worksheet on ordering real numbers (between two integers, number line). Ordering Real Numbers.pdf

In this lesson, students estimate the square roots of non-perfect squares using perfect squares. Then they give the approximate location of the non-perfect squares on a number line.